TY  - JOUR
TI  - Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves
AB  - This study generalizes the cross product defined in 3-dimensional almost contact metric manifolds and describes a new generalized cross product for n=1 in (2n+s)-dimensional framed metric manifolds. Moreover, it studies some of the proposed product’s basic properties. It also performs characterizations of the curvature of a Legendre curve on an S-manifold and calculates the curvature of a Legendre curve. Furthermore, it shows that Legendre curves are also biharmonic curves. Next, this study observes that a Legendre curve of osculating order 5 on S-manifolds is imbedded in the 3-dimensional K-contact space. Lastly, the current paper discusses the need for further research.
AU  - CAN, Saniye
AU  - CAMCI, Çetin
DO  - 10.53570/jnt.1213002
PY  - 2023
JO  - Journal of New Theory
IS  - 42
SN  - 2149-1402
SP  - 94
EP  - 107
DB  - TRDizin
UR  - http://search/yayin/detay/1163369
ER  -